Dubravka Ban
Professor|Director
P: 618.453.6589
E: dban@siu.edu
O: Neckers 365
Website
Professor; Dr. Sci., University of Zagreb, Croatia, 1998. Algebra, representation theory, automorphic forms.
Research Interests
My research is on topics in the representation theory of p-adic groups in the context of Langlands program. It is motivated by Arthur's conjectures.
Vitae
Publications
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Strukture na reprezentacijama klasicnih p-adskih grupa, Disertacija, Zagreb 1998 (Structures on representations of classical p-adic groups, Ph.D. Thesis)
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Parabolic induction and Jacquet modules of representations of O(2n,F), Glasnik Mat. 34 (54) (1999) 147-185.
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Self-duality in the case of SO(2n,F), Glasnik Mat. 34 (54) (1999) 187-196
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(with C. Jantzen) The Langlands classification for non-connected p-adic groups, Israel J. Math 126 (2001) 239-261
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Jacquet modules of parabolically induced representations and Weyl groups, Canad. J. Math. 53 (2001) no. 4, 675-695
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The Aubert involution and R- groups, Ann. Scient. Ec. Norm. Sup., 4 serie, t. 35 (2002) 673-693
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(with C. Jantzen) Degenerate principal series for even orthogonal groups, Representation Theory, 7 (2003) 440-480.
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Linear independence of intertwining operators, Journal of Algebra, 271 (2004) 749-767.
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(with C. Jantzen) The Langlands classification for non-connected p-adic groups II: Multiplicity one, Proceedings of the AMS, 131 (2003) 3297-3304.
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Discrete series representations of SO(2n,F) for generic reducibilities, Functional analysis VIII, 11--26, Various Publ. Ser. (Aarhus), 47, Aarhus Univ., Aarhus, 2004.
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(with C. Jantzen) Duality and normalization of standard intertwining operators, Manuscripta Math. 115 (2004), No. 4, 401-415.
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(with Y. Zhang) Arthur R-groups, classical R-groups, and Aubert involutions for SO(2n+1), Composition Math. 141(2) (2005), 323-343.
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Symmetry of Arthur parameters under Aubert involution, Journal of Lie Theory 16 (2006), No. 2, 251-270.
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(with C. Jantzen) R-groups and the action of intertwining operators in the nontempered case, International Mathematics Research Notices, (2007), Article ID rnm059.
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(with C. Jantzen) Jacquet modules and the Langlands classification, Michigan Mathematical Journal, 56 (2008), 637-653.
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(with D. Goldberg) R-groups and parameters, Pacific J. Math., 255 (2012) No. 2, 281-303.
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(with C. Jantzen) The Langlands quotient theorem for finite extensions of p-adic groups, to appear in Glasnik Mat.
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(with D. Goldberg) R-groups, elliptic representations, and parameters for Gspin groups, preprint.
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(with C. Jantzen) The Langalands quotient theorem for finite central extensions of $p$-adic groups II: intertwining operators an duality, to appear in Glasnik Matematicki
- (with J. Hundley) On reducibility of p-adic principal series representations of p-adic groups, submitted (2015).